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A Benamou-Brenier formula for transport distances between stationary random measures

Published 7 Feb 2024 in math.PR | (2402.04842v1)

Abstract: We derive a Benamou-Brenier type dynamical formulation for the Wasserstein metric $\mathsf W_p$ between stationary random measures recently introduced in [EHJM23]. A key step is a reformulation of the metric $\mathsf W_p$ using Palm probabilities.

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